The generator matrix

 1  1  1  1  1  1  1  1  1  X  1 2X+2  1  1  X 2X+2  1  1  1
 0  2  0 2X+2  0  0 2X+2 2X+2 2X 2X  0 2X 2X+2  2 2X+2 2X+2  0 2X  0
 0  0  2 2X+2  0  2  2  0 2X 2X+2  0 2X+2 2X+2 2X  2  2 2X  2  0
 0  0  0 2X  0  0 2X  0  0 2X 2X  0  0 2X 2X  0 2X 2X  0
 0  0  0  0 2X  0  0  0  0 2X 2X 2X  0  0 2X 2X  0 2X  0
 0  0  0  0  0 2X 2X 2X 2X  0  0 2X 2X 2X  0  0  0  0 2X

generates a code of length 19 over Z4[X]/(X^2+2X+2) who´s minimum homogenous weight is 14.

Homogenous weight enumerator: w(x)=1x^0+23x^14+34x^15+62x^16+258x^17+302x^18+700x^19+304x^20+252x^21+48x^22+34x^23+16x^24+2x^25+10x^26+1x^30+1x^32

The gray image is a code over GF(2) with n=152, k=11 and d=56.
This code was found by Heurico 1.16 in 0.032 seconds.